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%I #12 Dec 23 2018 07:23:11
%S 271350,104329,33252,17424,21320,26244,32400,40000,49288,60516,74000,
%T 90000,108936,131044,156880,186624,221000,260100,304848,355216,412360,
%U 476100,547856,627264,716040,813604,922000,1040400,1171208,1313316
%N Number of (n+2) X (7+2) 0..1 arrays with no 3 X 3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum.
%H R. H. Hardin, <a href="/A258893/b258893.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) + 2*a(n-2) - 6*a(n-3) + 6*a(n-5) - 2*a(n-6) - 2*a(n-7) + a(n-8) for n > 11.
%F Empirical for n mod 2 = 0: a(n) = n^4 + 10*n^3 + 217*n^2 + 960*n + 9216 for n > 3.
%F Empirical for n mod 2 = 1: a(n) = n^4 + 10*n^3 + 218*n^2 + 946*n + 9265 for n > 3.
%F Empirical g.f.: x*(271350 - 438371*x - 718106*x^2 + 1370362*x^3 + 545942*x^4 - 1479832*x^5 - 41458*x^6 + 602478*x^7 - 38780*x^8 - 54557*x^9 - 18836*x^10) / ((1 - x)^5*(1 + x)^3). - _Colin Barker_, Dec 23 2018
%e Some solutions for n=1:
%e 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0
%e 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0
%e 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 1 0 1
%Y Column 7 of A258894.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 14 2015
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